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2 years ago

There are 8 boys to every 13 girls majoring in business. If

Mathematics

1 answer:

Bas_tet [7]2 years ago

8 0

Answer:

609

Step-by-step explanation:

337 divided by 13 is 29 so then you have to multiply 29 by 8 and finally add 232+337 and you get 609

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Solve x 2 + 9x + 8 = 0 by completing the square. What are the solutions?

vivado [14]

x^2+9x+8=0

(x+1)(x+8)=0

x+1=0

x=-1

x+8 = 0

x=-8

solutions are -1 and -8

3 0

3 years ago

Answer ASAP. Please give correct answer. (Involves a bunch of circles and trig identities)

iren [92.7K]

Answer:

45.40

Step-by-step explanation:

First of all, the shape of rope is not a parabola but a catenary, and all catenaries are similar, defined by:

y=acoshxa

You just have to figure out where the origin is (see picture). The hight of the lowest point on the rope is 20 and the pole is 50 meters high. So the end point must be a+(50−20) above the x-axis. In other words (d/2,a+30) must be a point on the catenary:

a+30=acoshd2a(1)

The lenght of the catenary is given by the following formula (which can be proved easily):

s=asinhx2a−asinhx1a

where x1,x2 are x-cooridanates of ending points. In our case:

80=2asinhd2a

40=asinhd2a(2)

You have to solve the system of two equations, (1) and (2), with two unknowns (a,d). It's fairly straightforward.

Square (1) and (2) and subtract. You will get:

(a+30)2−402=a2

Calculate a from this equation, replace that value into (1) or (2) to evaluate d.

My calculation:

a=353≈11.67

d=703arccosh257≈45.40

7 0

3 years ago

Which statement is true about the function f(x)= StartRoot negative x EndRoot?

UNO [17]

Answer:

The domain of the graph is all real numbers less than or equal to 0

Step-by-step explanation:

we have the function

$f(x)=\sqrt{-x}$

we know that

The radicand must be positive

$-x \geq 0$

Solve for x

Multiply by -1 both sides

$x\leq 0$

The domain is the interval ------> (-∞,0]

All real numbers less than or equal to zero

The range of the function is the interval -----> [0,∞)

$f(x)\geq 0$

see the attached figure to better understand the problem

All real numbers greater than or equal to zero

<em><u>Verify each statement</u></em>

case 1) The domain of the graph is all real numbers

The statement is false

Because, the domain is all real numbers less than or equal to zero

case 2) The range of the graph is all real numbers

The statement is false

Because, the range is all real numbers greater than or equal to zero

case 3) The domain of the graph is all real numbers less than or equal to 0

The statement is true

case 4) The range of the graph is all real numbers less than or equal to 0

The statement is false

Because, the range is all real numbers greater than or equal to zero

4 0

3 years ago

Read 2 more answers

!PLEASE HELP QUICKLY, WILL GIVE BRAINLIEST! What is 1/3 (−15+ 3/2)?

ololo11 [35]

Answer:

Step-by-step explanation:

-9/2

7 0

3 years ago

Read 2 more answers

Evaluating

Neporo4naja [7]

Answer:

Step-by-step explanation:

first, solve in the parentheses then solve from there:

1 + 4 = 5

50 - 5^2 / 25

50 - (5 x 5 ) /25

50 - 25 / 25

25 / 25

8 0

2 years ago

Read 2 more answers